I'm not the best with computer magic but most will tell you they use a speadsheet program of some kind to keep track of points. They can use formulas to automatically add the right number of points allocated by finishing position but that's some advanced stuff. What I have always done is make a simple chart with drivers on the left, races on the top, and adding up points with a good old fashioned calculator and paper to keep track of it all, then inputting the data when I'm sure I got it right.
It depends on how computer savvy you are but there's different things for all levels. Good luck with your endeavors!